Nonlocal non-Abelian gauge theory: Conformal invariance and β -function

Ghoshal, Anish; Mazumdar, Anupam; Okada, Nobuchika; Villalba, Desmond

doi:10.1103/PhysRevD.104.015003

Title: Nonlocal non-Abelian gauge theory: Conformal invariance and $β$ -function

Journal Article · Fri Jul 02 00:00:00 EDT 2021 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.104.015003· OSTI ID:1805063

; Mazumdar, Anupam;

;

This paper focuses on extending our previous discussion of an Abelian U(1) gauge theory involving infinite derivatives to a non-Abelian SU(N) case. The renormalization group equation (RGEs) of the SU(N) gauge coupling is calculated and shown to reproduce the local theory β-function in the limit of the nonlocal scale M → ∞ . Interestingly, the gauge coupling stops its running beyond the scale M, approaching an asymptotically conformal theory.

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Research Organization:: Univ. of Alabama, Tuscaloosa, AL (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Netherlands Organization for Scientific Research (NWO)

Grant/Contract Number:: SC0012447; 680-91-11

OSTI ID:: 1805063

Alternate ID(s):: OSTI ID: 1851635

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 104 Journal Issue: 1; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (52)

Ghost-free infinite derivative quantum field theory Buoninfante, Luca; Lambiase, Gaetano; Mazumdar, Anupam Nuclear Physics B, Vol. 944 https://doi.org/10.1016/j.nuclphysb.2019.114646	journal	July 2019
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 40, Issue 10 https://doi.org/10.1088/1674-1137/40/10/100001	journal	October 2016
Emergence of the electroweak scale through the Higgs portal Englert, Christoph; Jaeckel, Joerg; Khoze, V. V. Journal of High Energy Physics, Vol. 2013, Issue 4 https://doi.org/10.1007/JHEP04(2013)060	journal	April 2013
Towards a resolution of the cosmological singularity in non-local higher derivative theories of gravity Biswas, Tirthabir; Koivisto, Tomi; Mazumdar, Anupam Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 11 https://doi.org/10.1088/1475-7516/2010/11/008	journal	November 2010
Classical properties of non-local, ghost- and singularity-free gravity Buoninfante, Luca; Koshelev, Alexey S.; Lambiase, Gaetano Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 09 https://doi.org/10.1088/1475-7516/2018/09/034	journal	September 2018
Natural electroweak symmetry breaking from scale invariant Higgs mechanism Farzinnia, Arsham; He, Hong-Jian; Ren, Jing Physics Letters B, Vol. 727, Issue 1-3 https://doi.org/10.1016/j.physletb.2013.09.060	journal	November 2013
Effective scalar field theory of $p$ -adic string Frampton, Paul H.; Okada, Yasuhiro Physical Review D, Vol. 37, Issue 10 https://doi.org/10.1103/PhysRevD.37.3077	journal	May 1988
Stability of infinite derivative Abelian Higgs models Ghoshal, Anish; Mazumdar, Anupam; Okada, Nobuchika Physical Review D, Vol. 97, Issue 7 https://doi.org/10.1103/PhysRevD.97.076011	journal	April 2018
Linear Regge trajectories from worldsheet lattice parton field theory Biswas, Tirthabir; Grisaru, Marc; Siegel, Warren Nuclear Physics B, Vol. 708, Issue 1-3 https://doi.org/10.1016/j.nuclphysb.2004.11.004	journal	February 2005
Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity Talaganis, Spyridon; Biswas, Tirthabir; Mazumdar, Anupam Classical and Quantum Gravity, Vol. 32, Issue 21 https://doi.org/10.1088/0264-9381/32/21/215017	journal	October 2015
Stable bounce and inflation in non-local higher derivative cosmology Biswas, Tirthabir; Koshelev, Alexey S.; Mazumdar, Anupam Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 08 https://doi.org/10.1088/1475-7516/2012/08/024	journal	August 2012
Schwarzschild $1 / r$ singularity is not permissible in ghost-free quadratic-curvature infinite-derivative gravity Koshelev, Alexey S.; Marto, João; Mazumdar, Anupam Physical Review D, Vol. 98, Issue 6 https://doi.org/10.1103/PhysRevD.98.064023	journal	September 2018
Rotating metric in nonsingular infinite derivative theories of gravity Cornell, Alan S.; Harmsen, Gerhard; Lambiase, Gaetano Physical Review D, Vol. 97, Issue 10 https://doi.org/10.1103/PhysRevD.97.104006	journal	May 2018
Erratum: Einstein gravity as a symmetry-breaking effect in quantum field theory Adler, Stephen L. Reviews of Modern Physics, Vol. 55, Issue 3 https://doi.org/10.1103/RevModPhys.55.837	journal	July 1983
Classically scale invariant inflation, supermassive WIMPs, and adimensional gravity Farzinnia, Arsham; Kouwn, Seyen Physical Review D, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevD.93.063528	journal	March 2016
Conformally-flat, non-singular static metric in infinite derivative gravity Buoninfante, Luca; Koshelev, Alexey S.; Lambiase, Gaetano Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 06 https://doi.org/10.1088/1475-7516/2018/06/014	journal	June 2018
Dynamical generation of the weak and dark matter scale Hambye, Thomas; Strumia, Alessandro Physical Review D, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevD.88.055022	journal	September 2013
On bouncing solutions in non-local gravity Koshelev, A. S.; Vernov, S. Yu. Physics of Particles and Nuclei, Vol. 43, Issue 5 https://doi.org/10.1134/S106377961205019X	journal	September 2012
One-loop effective potential in the nonlocal supersymmetric gauge theory Gama, F. S.; Nascimento, J. R.; Petrov, A. Yu. Physical Review D, Vol. 96, Issue 10 https://doi.org/10.1103/PhysRevD.96.105009	journal	November 2017
Anomalous magnetic moments from asymptotic safety Hiller, Gudrun; Hormigos-Feliu, Clara; Litim, Daniel F. Physical Review D, Vol. 102, Issue 7 https://doi.org/10.1103/PhysRevD.102.071901	journal	October 2020
Supersymmetric gauge theories with higher derivatives and nonlocal terms in the matter sector Gama, F. S.; Nascimento, J. R.; Petrov, A. Yu. Physical Review D, Vol. 101, Issue 10 https://doi.org/10.1103/PhysRevD.101.105018	journal	May 2020
Towards conformally flat, non-Kasner vacuum solution in infinite derivative gravity Koshelev, Alexey S.; Marto, João; Mazumdar, Anupam Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 02 https://doi.org/10.1088/1475-7516/2019/02/020	journal	February 2019
Einstein gravity as a symmetry-breaking effect in quantum field theory Adler, Stephen L. Reviews of Modern Physics, Vol. 54, Issue 3 https://doi.org/10.1103/RevModPhys.54.729	journal	July 1982
Do massive compact objects without event horizon exist in infinite derivative gravity? Koshelev, Alexey S.; Mazumdar, Anupam Physical Review D, Vol. 96, Issue 8 https://doi.org/10.1103/PhysRevD.96.084069	journal	October 2017
Non-commutative geometry and string field theory Witten, Edward Nuclear Physics B, Vol. 268, Issue 2 https://doi.org/10.1016/0550-3213(86)90155-0	journal	May 1986
Non-archimedean strings Freund, Peter G. O.; Olson, Mark Physics Letters B, Vol. 199, Issue 2 https://doi.org/10.1016/0370-2693(87)91356-6	journal	December 1987
Generalized ghost-free quadratic curvature gravity Biswas, Tirthabir; Conroy, Aindriú; Koshelev, Alexey S. Classical and Quantum Gravity, Vol. 31, Issue 1 https://doi.org/10.1088/0264-9381/31/1/015022	journal	November 2013
Constraints on ultraviolet-stable fixed points in supersymmetric gauge theories Martin, Stephen P.; Wells, James D. Physical Review D, Vol. 64, Issue 3 https://doi.org/10.1103/PhysRevD.64.036010	journal	July 2001
Solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory Foot, Robert; Kobakhidze, Archil; McDonald, Kristian L. Physical Review D, Vol. 77, Issue 3 https://doi.org/10.1103/PhysRevD.77.035006	journal	February 2008
Induced gravity I: real scalar field Einhorn, Martin B.; Jones, D. R. Timothy Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)019	journal	January 2016
Corrigendum: Generalized ghost-free quadratic curvature gravity (2014 Class. Quantum Grav. 31 015022) Biswas, Tirthabir; Conroy, Aindriú; Koshelev, Alexey S. Classical and Quantum Gravity, Vol. 31, Issue 15 https://doi.org/10.1088/0264-9381/31/15/159501	journal	July 2014
Towards Singularity- and Ghost-Free Theories of Gravity Biswas, Tirthabir; Gerwick, Erik; Koivisto, Tomi Physical Review Letters, Vol. 108, Issue 3 https://doi.org/10.1103/PhysRevLett.108.031101	journal	January 2012
Non-perturbative gravity, the Hagedorn bounce and the cosmic microwave background Biswas, Tirthabir; Brandenberger, Robert; Mazumdar, Anupam Journal of Cosmology and Astroparticle Physics, Vol. 2007, Issue 12 https://doi.org/10.1088/1475-7516/2007/12/011	journal	December 2007
The static tachyon potential in the open bosonic string theory Alan Kostelecký, V.; Samuel, Stuart Physics Letters B, Vol. 207, Issue 2 https://doi.org/10.1016/0370-2693(88)91410-4	journal	June 1988
The minimal scale invariant extension of the Standard Model Alexander-Nunneley, Lisa; Pilaftsis, Apostolos Journal of High Energy Physics, Vol. 2010, Issue 9 https://doi.org/10.1007/JHEP09(2010)021	journal	September 2010
Electroweak and conformal symmetry breaking by a strongly coupled hidden sector Holthausen, Martin; Kubo, Jisuke; Lim, Kher Sham Journal of High Energy Physics, Vol. 2013, Issue 12 https://doi.org/10.1007/JHEP12(2013)076	journal	December 2013
Asymptotic Safety Guaranteed in Supersymmetry Bond, Andrew D.; Litim, Daniel F. Physical Review Letters, Vol. 119, Issue 21 https://doi.org/10.1103/PhysRevLett.119.211601	journal	November 2017
Model building from asymptotic safety with Higgs and flavor portals Hiller, Gudrun; Hormigos-Feliu, Clara; Litim, Daniel F. Physical Review D, Vol. 102, Issue 9 https://doi.org/10.1103/PhysRevD.102.095023	journal	November 2020
The Higgs of the Higgs and the diphoton channel Kannike, Kristjan; Pelaggi, Giulio Maria; Salvio, Alberto Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)101	journal	July 2016
Bouncing universes in string-inspired gravity Biswas, Tirthabir; Mazumdar, Anupam; Siegel, Warren Journal of Cosmology and Astroparticle Physics, Vol. 2006, Issue 03 https://doi.org/10.1088/1475-7516/2006/03/009	journal	March 2006
Transmutation of nonlocal scale in infinite derivative field theories Buoninfante, Luca; Ghoshal, Anish; Lambiase, Gaetano Physical Review D, Vol. 99, Issue 4 https://doi.org/10.1103/PhysRevD.99.044032	journal	February 2019
Radiative Corrections as the Origin of Spontaneous Symmetry Breaking Coleman, Sidney; Weinberg, Erick Physical Review D, Vol. 7, Issue 6 https://doi.org/10.1103/PhysRevD.7.1888	journal	March 1973
Towards LHC physics with nonlocal Standard Model Biswas, Tirthabir; Okada, Nobuchika Nuclear Physics B, Vol. 898 https://doi.org/10.1016/j.nuclphysb.2015.06.023	journal	September 2015
Nonsingular metric for an electrically charged point-source in ghost-free infinite derivative gravity Buoninfante, Luca; Harmsen, Gerhard; Maheshwari, Shubham Physical Review D, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevD.98.084009	journal	October 2018
Induced gravity II: grand unification Einhorn, Martin B.; Jones, D. R. Timothy Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)185	journal	May 2016
On singularities of spherically symmetric backgrounds in string theory Tseytlin, A. A. Physics Letters B, Vol. 363, Issue 4 https://doi.org/10.1016/0370-2693(95)01228-7	journal	November 1995
Agravity Salvio, Alberto; Strumia, Alessandro Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)080	journal	June 2014
Spherical collapse of small masses in the ghost-free gravity Frolov, Valeri P.; Zelnikov, Andrei; de Paula Netto, Tibério Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)107	journal	June 2015
Non-archimedean string dynamics Brekke, Lee; Freund, Peter G. O.; Olson, Mark Nuclear Physics B, Vol. 302, Issue 3 https://doi.org/10.1016/0550-3213(88)90207-6	journal	June 1988
Naturalness and dimensional transmutation in classically scale-invariant gravity Einhorn, Martin B.; Jones, D. R. Timothy Journal of High Energy Physics, Vol. 2015, Issue 3 https://doi.org/10.1007/JHEP03(2015)047	journal	March 2015
Adelic string amplitudes Freund, Peter G. O.; Witten, Edward Physics Letters B, Vol. 199, Issue 2 https://doi.org/10.1016/0370-2693(87)91357-8	journal	December 1987
Scalar dark matter probes the scale of nonlocality Ghoshal, Anish International Journal of Modern Physics A, Vol. 34, Issue 24 https://doi.org/10.1142/S0217751X19501306	journal	August 2019

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